Finding the Third Proportional to 47,152 and 103,664

Step by Step Solution

1. Step 1: Write the proportion equation
   47,152 : 103,664 = 103,664 : x
2. Step 2: Convert to fraction form
   47,152/103,664 = 103,664/x
3. Step 3: Cross multiply
   47,152x = 103,664 × 103,664
4. Step 4: Simplify right side
   47,152x = 10,746,224,896
5. Step 5: Solve for x
   x = 10,746,224,896/47,152
6. Step 6: Final answer
   x = 227,906.03